Speaker: Wei Zhang (张伟), Columbia University

Time and venue: July 10th, 10:30-11:30, Quan 9, BICMR

Abstract:
Using Heegner cycles and L-functions, we prove some cases of the following "purely algebraic" statement: "if an elliptic curve over a global field has Selmer rank one, then it has Mordell-Weil rank one and finite Tate-Shafarevich group."